Basic Math Questions and Answers

Find an equation for the line tangent to the curve y x 9 x 4 at x 1 y

1 At a cheesecake factory a piece of cheesecake is of a cheesecake How much of 12 the cheesecake is 1 6 of a piece 1 At a cheesecake factory of a piece of cheesecake is of a whole cheesecake 6 Type an integer or a simplified fraction

n the following frequency distribution find Class limits frequency 8 12 3 13 17 18 22 23 27 28 32 5 15 5 2 1 Construct a polygon 2 Variance 3 The coefficient of variation 4 Midquartile 5 Q3

9 Ava is a computer technician One day she drove 173 mi away from Pasadena for a service call The next day she drove 75 10 then from Pasadena Ava was miles away from Pasadena Simplify your answer Type a mixed numeral if possible Otherwise type a whole number or a fraction mi back toward Pasadena for another service call How far was she

The discussion forums in this class focus on your awareness and development of the soft skills necessary to be successful in the 21st century job market Keep in mind that the more effort you put into your development of these skills the more successful you will be in the workplace This Employability Skills discussion forum series is designed to help you begin your journey towards acquiring and developing these skills Assignment In the discussion forum answer the following questions 1 Please reflect over the past two weeks When have you needed to adapt to a change that occurred in your professional life during this time frame Please describe the circumstance I transferred 2 Was adapting to this change easy or difficult Why schools but taking the same business program at my new school 3 In reflection what would you have done differently 4 What did you learn from this circumstance that will help you adapt to change in the future

A patient in a hospital estimates her pulse rate by taking her pulse for 15 seconds and multiplying it by four She measures he pulse to be 68 beats per minute Later a nurse uses a vital signs monitor to measure the patient s pulse rate at 76 beats per minute a Compute the absolute error Simplify your answer completely AE Interpret the result The patient s pulse estimate had this much percent error from her measured pulse The patient s pulse estimate was off by this many beats per minute from the measured pulse The patient s pulse estimate was off by this much relative to her measured pulse The patient s pulse was increasing by this amount each minute The patient should have multiplied by this value rather than four to get her estimate b Compute the relative error Round to three decimal places Simplify your answer completely RE Interpret the result The patient s pulse estimate had this much percent error from her measured pulse The patient s pulse estimate was off by this many beats per minute from the measured pulse The patient s pulse estimate was off by this much relative to her measured pulse The patient s pulse was increasing by this amount each minute The patient should have multiplied by this value rather than four to get her estimate

En APA style you must round to two decimal places in almost every case Please practice below 3 Round off the following numbers to two decimal places assume digits to the right of those shown are zero a 144 0135 b 67 245 c 99 707 d 13 345 e 7 3451 5 9817 g 5 997 4

Worldwide t shirt exports had a total value of 46 500 000 000 for a particular year Of this amount approximately exported in that particular year Round the answer to the nearest hundred million dollars Choose the correct answer below OA The value of cotton t shirts exported in that particular year was about 6 610 000 000 OB The value of cotton t shirts exported in that particular year was about 660 000 000 OC The value of cotton t shirts exported in that particular year was about 661 000 000 OD The value of cotton t shirts exported in that particular year was about 6 600 000 000 1 came from cotton t shirts Worldwide what was the value of cotton t shirts 7

Janyss purchases a new car and the salesperson s quick check estimates that the monthly payment on the car will be 454 93 When the monthly payment bill arrives it is 469 Compute the percent error Simplify your answer completely PE Determine whether the quick check estimate was a good estimate using the 5 guideline Since this percent error is greater than 5 we see that the quick check estimate was not a good estimate Since this percent error is less than 5 we see that the quick check estimate was not a good estimate Since this percent error is less than 5 we see that the quick check estimate was a good estimate Since this percent error is greater than 5 we see that the quick check estimate was a good estimate Since this percent error is less than 5 we cannot determine if the quick check estimate was or was not a good estimate

The volume of a standard can of soda is advertised to be 355 milliliters Suppose a quality control inspector opens a can of sod measures its contents and finds it to be 358 6 milliliters a Compute the absolute error Simplify your answer completely AE Interpret the result This is the ratio of the inspector s measurement to the advertised volume The advertised volume was off by this much relative to the inspector s measurement The advertised volume has this much percent error with the inspector s measurement The advertised volume was this many milliliters off of the inspector s measurement The advertised volume was reduced by this proportion b Compute the relative error Round to three decimal places Simplify your answer completely RE Interpret the result This is the ratio of the inspector s measurement to the advertised volume The advertised volume was off by this much relative to the inspector s measurement The advertised volume has this much percent error with the inspector s measurement The advertised volume was this many milliliters off of the inspector s measurement The advertised volume was reduced by this proportion

The estimated and actual values are given Compute the relative error Simplify your answer completely V 13 3 and v 14 RE

The estimated and actual values are given Compute the absolute error Simplify your answer completely AE V 78 69 and v 77 1 e

A group of 4 senior analysts and 2 junior analysts earns 28 400 every month Another group of 3 senior analysts and 5 junior analysts earns 34 600 every month Find the monthly salary of each senior analyst and junior analyst Senior Analyst

Graph the following equation using a table of values y 2x 26 X y

The estimated and actual values are given Compute the relative error Simplify your answer completely Ve 26 624 and v 25 6 RE

The estimated and actual values are given Compute the absolute error Simplify your answer completely AE 3 7 and v 4

Plot the following coordinates in a graph and draw a straight line that covers all three dots 0 3 1 1 2 1 a What is the y value of the line when x 6

Identify the correct graph for the following equation 5r 22 10

12 10 8 6 4 2 A B C D

a Plot the following coordinates 7 7 5 7 7 5 5 5 What shape do the points make O a Square O b Diamond Oc Rectangle

Solve the system of equations by using the Substitution meth x OE y 0 4x 4y 560 y 5x 34 0

For the equation x 10y 50 find the missing value in the following ordered pair 10

What valid inference can be made from the following proposition Take the truth value as specified All amusement parks are crowded places T Some crowded places are not amusement parks T All crowded places are amusement parks F No amusement parks are crowded places F All crowded places are amusement parks T

Use the determinant of the coefficient matrix to determine whether the system of linear equations has a unique solution 5x1 X2 6x3 x4 7 x2 3x3 4x4 5 3x4 9 1 X1 2x1 5x 2x3 Xi 5X2 6x3 O The system has a unique solution because the determinant of the coefficient matrix is nonzero O The system has a unique solution because the determinant of the coefficient matrix is zero O The system does not have a unique solution because the determinant of the coefficient matrix is nonzero O The system does not have a unique solution because the determinant of the coefficient matrix is zero

nd IAI IBI AB and IABI Then verify that IA B AB 49 2 A 4 2 B 3 1 94 0 a A b B c AB d AB A

Find the value of k such that A is singular Enter your answers as a comma separated list 0 k 1 k 1 k 1 k O

Use a determinant to decide whether the matrix is singular or nonsingular 13 3 15 0 3 2 3 10 singular O nonsingular 7

Use the fact that CA C A to evaluate the determinant of the nx n matrix 6 9 A 2 15 12 15 STEP 1 Factor out the greatest common divisor 12 15 1 STEP 2 Find the determinant of the matrix found in Step 1 STEP 3 Find the determinant of the original matrix

Solve v C n 1 s c for c If appropriate write only the positive root Assume all variables are nonzero

Solve P P 0 for p Assume the variable is nonzero P

A snack bag of potato chips is advertised as weighing 1 5 ounces Suppose a bag of potato chips is selected at random from snack pack and weighs 1 523 ounces a Compute the absolute error Simplify your answer completely AE Interpret the result The advertised weight is incorrect this proportion of the time This is the average weight of a single potato chip The advertised weight has this much percent error with the random sample s weight The advertised weight was this many ounces off of the random sample s weight The advertised weight was off by this much relative to the random sample s weight b Compute the relative error Round to three decimal places Simplify your answer completely RE Interpret the result The advertised weight is incorrect this proportion of the time This is the average weight of a single potato chip The advertised weight has this much percent error with the random sample s weight The advertised weight was this many ounces off of the random sample s weight The advertised weight was off by this much relative to the random sample s weight

The sales of a math performance enhancing drug are given by S t when t 0 65 60 45 55 75 MY NOT 300t 1 where t is in years and S t is in millions of dollars What is the rate of change of sales in millions of dollars per yea t 5

If g s 8s 16s 4 s 8 12 5 5 33 2 S 08 s 8 s S 16 s S 32s3 2 32 5 8 O 12 s s O 16 s 4 s3 2 find g s

If f x simplify X 1 2 2 h 1 h 1 1 2 2 h 1 4 h 1 4 h f 2 h f 2 h

Let f x x kif x 3 kx 7 if x 3 For what value of k will f x be continuous everywhere 40 35 30 5 10

If x 49 5 x 12 and g x 2x 19 find the composition fog 4 63 O O O O O 68 74 59 67

Find an equation for the line tangent to the curve y 12 x 2x at x 9 Oy 7x 11 Oy 4x 18 Oy 7x 9 y 4x 11 Oy 9x 27

What is the domain of the function f x O 4 00 O 3 4 U 4 00 3 00 O 4 U 4 4 U 4 00 4 4 x 3 x 16

The demand and supply functions for Penn State ice hockey jerseys are p d x x 3x 39 P S x 2x 3 where x is the number of thousands of jerseys and p is the price in dollars Find the equilibrium price 11 16 14 7 9

Evaluate lim X 60 26 0000 81 0 8 0 60 60x9 62x8 16x 94 26x9

Solve Write a mixed numeral for the answer 6 6 Find the perimeter distance around of the polygon below Each side of the polygon has the same length side length 3 yd 7 A painter used 6 gallons of paint to paint the front of a house and another 65 gallons 9 to paint the back How much paint did he use in total 2 8 Mr Meredith is building a table The top will have a piece of marble 24 inches by 16 inches bordered by 22 inches of wood on all four sides Give the overall dimensions of 4 the table top 9 June wants to work for 14 hours at her part time job this week She has already 4 worked 5 hours How many more hours does she need to work 2 10 There were 25 3 yards of wire on a spool After a customer bought 27 yards of wire 8 from the spool how many yards were left 2 10

Consider the function f x x4 4x 36x Determine the number of points on the graph of y f x that have a horizontal tangent line In other words determine the number of solutions to f x 0 Determine the values of x at which f x has a horizontal tangent line Enter your answer as a comma separated list of values The order of the values does not matter Enter DNE if f x does not have any horizontal tangent lines

If g s g s 4s 16s 6 s compute g s Hint Simplify g s by writing it as a sum of power functions before computing g s

Derivatives Course Packet on using the derivative to compute limits If f x 4x 15x 31 evaluate lim f 3 h f 3 h 0 h If an answer does not exist enter DNE Submit Answer

J If h z 6z8 3z5 5z 2 compute h z h z

Let f x x7 5 x4 7 Compute f x by first expanding f x and then differentiating term by term f x

If g s g s 2s 17s 8 s 1 compute g s Hint Simplify g s by writing it as a sum of power functions before computing g s

Let f x x7 2 2 x5 7 Compute f x by first expanding f x and then differentiating term by term f x